Set your oven to 425°F (220°C) and ready a large baking sheet.
Dry the chicken pieces thoroughly with paper towels to achieve crispier skin.
Combine minced garlic, olive oil, paprika, dried thyme, salt, and black pepper in a bowl and generously coat the chicken.
In a separate bowl, mix together the broccoli, carrots, bell pepper, and onion with olive oil, salt, and black pepper until evenly coated.
Lay the vegetables evenly across the baking sheet and arrange the chicken on top, skin side facing up.
Place the sheet pan in the oven and roast for 35 to 40 minutes until the chicken is cooked through to 165°F (74°C) internally and vegetables are tender with caramelized edges.
If you prefer extra crispy chicken skin, switch to broil on high for 2 to 3 minutes at the end of cooking.
Allow the chicken to rest for 5 minutes before serving and garnish with fresh rosemary or parsley if desired.